Northern Ireland's governing body, the Irish FA, has said it will go to the Court of Arbitration for Sport in an attempt to prevent players born in their jurisdiction opting for the Republic.
But Wilson added: "Obviously Northern Ireland want to keep as many talented players as they can and, when four or five decide to leave, then that is what is upsetting them.
"It should be down to the player to make that decision and that should be it."
The Republic of Ireland take on the favourites for this summer's World Cup at Arsenal's Emirates stadium on Tuesday night.
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